Answer
x - 2y = -1.
Step-by-step explanation:
Slope = (3 - (-2)) / (5 - (-5))
= 5/10
= 1/2
Using the point-slope form of a straight line equation:
y - y1 = m(x - x1)
Here m = 1/2 and (x1, y1) = (5, 3):
y - 3 = 1/2(x - 5)
y - 3 = 1/2x - 5/2
y = 1/2x - 5/2 + 6/2
y = 1/2x + 1/2
Removing the fractions:
2y = x + 1
in standard form this is
x - 2y = -1
